In two right triangles, one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle. Prove that the two triangles are congruent.

Explanation

Let ABC and DEF be two right triangles such that `∠A=∠D`
and `∠B=∠E=90^0`
`BC=EF`
Thus, in `/_\ABC `and `/_\DEF`, we have`∠A=∠D`(given)
`∠B=∠E=90^0`
and `BC=EF`
So, by AAS theorem we obtain`/_\ABC~=/_\DEF`